Question

Noah tested several men of different ages to see how many push-ups they could complete in a row without resting. An approximate least-squares regression line was used to predict the number of push-ups from a given age of a man. Interpret the residual for the man indicated in the scatterplot above.

A. The actual number of push-ups is greater than predicted.
B. The actual number of push-ups is less than predicted.
C. The actual and predicted number of push-ups are equal.
D. The residual cannot be determined from the information provided.

Answer 1

The residual for the man indicated in the scatterplot is greater than predicted.

Step-by-step explanation:

The residual for the man indicated in the scatterplot above indicates that the actual number of push-ups is greater than predicted. The residual represents the difference between the actual number of push-ups and the predicted number based on the regression line. Since the residual is positive, it means that the actual number of push-ups is higher than what was predicted by the regression line.